Questions on Algebra: Sequences of numbers, series and how to sum them answered by real tutors!

Tutors Answer Your Questions about Sequences-and-series (FREE)

Question 1083540: An arithmetic series has 24 terms. The sum of the 2nd and 23rd term is 45. What is the sum of all the terms? (If you pair up the first and last terms, second term and second last term, the sums are equal)
Click here to see answer by KMST(5328)

Question 1083614: What is the common difference, d of the sequence shown below?
-1, -5, -9, -13, -17, -21, �
A) 4
B) -4
C) -1
D) -5
Click here to see answer by jim_thompson5910(35256)

Question 1083614: What is the common difference, d of the sequence shown below?
-1, -5, -9, -13, -17, -21, �
A) 4
B) -4
C) -1
D) -5
Click here to see answer by MathLover1(20850)

Question 1083613: A business owner takes on a $10,000 loan to cover expenses. The interest rate on the loan is 6% per year. Each year, the business owner pays $1000 toward the loan. Find the balance on the loan after the second payment is made (round your answer to the nearest cent).
A) $9,176.00
B) $8,976.05
C) $6,788.08
D) $5,442.78
Click here to see answer by jim_thompson5910(35256)

Question 1083612: The first 4 terms of the following sequence an= 3^(n-1)are:
A) 1, 4, 8, 23
B) 1,-3, 9, 27
C) -1, 2, 8, 25
D) 1, 3, 9, 27
Click here to see answer by MathLover1(20850)

Question 1083610: Ben bought a new car and took out a loan for $20,000 with a monthly interest of 0.5%. If Ben pays $100 per month, will Ben ever pay the balance off? Explain why or why not?
Click here to see answer by jim_thompson5910(35256)

Question 1083553: The arithmetic progression consists of 15 terms. If the sum of the 3 terms
in the middle is 27 and the sum of the last 3 terms is 18, then what is the
sum of the first 3 terms?
Click here to see answer by ikleyn(52788)

Question 1083519: Given two terms in artimetic sequence find the common diffrence , the explicit formula,and recursive formula.
a11=110 and a37=370
Click here to see answer by ikleyn(52788)

Question 1083521: Evaluate each geometric series described.
-3+15-75+375...,n=8
Click here to see answer by ikleyn(52788)

Question 1083647: 10 wooden poles are be to be used for pillars and the length of the poles form an A.P. if the second pole is two meters and the 6th is 5 meters give the length of the poles in order
Click here to see answer by josgarithmetic(39618)

Question 1083611: Larry has a new mortgage of $150,000 with an interest rate of 10% per year. What is the balance after 3 monthly payments of $1350?
Click here to see answer by Theo(13342)

Question 1083611: Larry has a new mortgage of $150,000 with an interest rate of 10% per year. What is the balance after 3 monthly payments of $1350?
Click here to see answer by MathTherapy(10552)

Question 1083649: find the sum of the first n terms of the G.P 5+15+45+......... what is the smallest number of terms that will give a total of 1000.
Click here to see answer by KMST(5328)

Question 1083646: The 4th term of an AP is 27 and the sum of the first and fourth term is 42, what is the third term?
Click here to see answer by MathLover1(20850)

Question 1083648: the three consecutive terms in a the G.P are the second third of and sixth term of an A.P find the common ratio?
Click here to see answer by KMST(5328)

Question 1083729: how to get the ninth term?
-2,16, -54, 128,
Click here to see answer by rothauserc(4718)

Question 1083705: A tennis ball is dropped from a height of 20 m and bounces to 40% of its previous height on each bounce. The total vertical distance travelled is made up of the upward bounces and downward drops. What is the total vertical distance the ball has travelled when it hits the floor for the 6th time?
Click here to see answer by rothauserc(4718)

Question 1083708: An advertising company designs a campaign to introduce a new product
to a metropolitan area. The company determines that 1000 people are aware
of the product at the beginning of the campaign. The number of new people
aware increases by 40% every 10 days during the advertising campaign.
Determine the total number of people who will be aware of the
product after 100 days.
Click here to see answer by Boreal(15235)

Question 1083840: If a^2,b^2,c^2 are in A.P,show that b+c,c+a,a+b are in H.P.
Click here to see answer by ikleyn(52788)

Question 1083841: If b is the harmonic mean between a and c,then prove that:1/(b-a) +1/(b-c)=1/a+1/c
Click here to see answer by Edwin McCravy(20056)

Question 1083938: What is the nth term of 2,4,8,16,32...
Click here to see answer by Edwin McCravy(20056)

Question 1083934: What is the next 10 numbers for this pattern?
15 , 11 , 3 , 6 , 12 , 5 , 10 , 1 , 2 , 4 , 8
And what do your call this pattern?
Click here to see answer by Edwin McCravy(20056)

Question 1083948: Hi.
I am programming and I need help with the formula for the following series:
1 - 1/2 -1/4 +1/3 -1/6 +1/8 -1/5 ....
Only the formula with suffice.
Thank you in advance for your help
Click here to see answer by Fombitz(32388)

Question 1078517: 1, 3, 15, 61, 213
nth term

Click here to see answer by Edwin McCravy(20056)

Question 1083979: Please solve this too
The 14th term of an arithmetic progression is 96 while the 25th term is 173. find the
a.19th term
b.sum of 13th and 56th terms
Click here to see answer by ikleyn(52788)

Question 1084005: After sitting in a taxi for 9 minutes, Sally realizes the cost of her ride is $9.05.
Three minutes later the cost was $10.40. How much will the ride be in 30 minutes?
Click here to see answer by josgarithmetic(39618)

Question 1083996: Please help me with this problem
The 16th term of an A.P is 93, given that its common difference is 6, find the first and the 28th terms

Click here to see answer by MathTherapy(10552)

Question 1084040: A growth rate of a species of fish can be calculated using sequences.
True or False?
Click here to see answer by ikleyn(52788)

Question 1084041: Jonny needs to come up with a recursive formula for the sequence -2, 1, 4, 7, 10.� What should it look like?
Click here to see answer by ikleyn(52788)

Question 1084039: The first 4 terms of the following sequence an=3^(n-1) are:
A) 1, 4, 8, 23
B) 1, -3, 9, 27
C) -1, 2, 8, 25
D) 1, 3, 9, 27
Click here to see answer by ikleyn(52788)

Question 1084078: Given that the first 4 terms of a geometric sequence are 2, x, 32, and 128, find the second term, x.
Click here to see answer by Alan3354(69443)

Question 1084085: 2, -2, 2, -2, � is a geometric sequence.
True or False?
Click here to see answer by Fombitz(32388)

Question 1084085: 2, -2, 2, -2, � is a geometric sequence.
True or False?
Click here to see answer by ikleyn(52788)

Question 1084089: What is the next term in the geometric sequence 4,-12,36?

Click here to see answer by Fombitz(32388)

Question 1084083: 3, -4, -3, 4, � is a geometric sequence.
True or False?
Click here to see answer by Boreal(15235)

Question 1084083: 3, -4, -3, 4, � is a geometric sequence.
True or False?
Click here to see answer by ikleyn(52788)

Question 1084071: Given the first four terms and the number of terms in the series, what is the sum of the following arithmetic series?
20 + 27 + 34 + 41, n = 16
Click here to see answer by Boreal(15235)

Question 1084081: The first 5 terms of the geometric sequence a1=-1/3, r=4 are:
Click here to see answer by ikleyn(52788)

Question 1084079: Given that the first 5 terms of a geometric sequence are 3, x, 12, y, and 48, find, x and y. Assume both x and y are positive.
Click here to see answer by ikleyn(52788)

Question 1084075: Find the sum of the infinite series:
12-1+1/12-1/144+...

Click here to see answer by ikleyn(52788)

Question 1084074: Find the sum of the infinite series: 8 − 0.8 + 0.08 − 0.008 + �
Click here to see answer by ikleyn(52788)

Question 1084072: A collection of trucks are set up into 10 rows. The first row has 1600 trucks, and each row after that one has 15 less trucks than the preceding row. How many total trucks are there in the 8th row?
Click here to see answer by ikleyn(52788)

Question 1084080: The sum of the first 20 terms of the geometric sequence 3, 6,12, 24, � is
Click here to see answer by ikleyn(52788)

Question 1084094: Please give the first three terms of an=n(n-1)(n-2),n>1 in general rule

Click here to see answer by MathLover1(20850)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790